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Finding the Fourth Proportional to 5,254.74, 7,875.16 and 2,477.59

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Solution

The fourth proportional to 5,254.74, 7,875.16 and 2,477.59 is: 3,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.74 : 7,875.16 = 2,477.59 : x
  2. Step 2: Convert to fraction form
    5,254.74/7,875.16 = 2,477.59/x
  3. Step 3: Cross multiply
    5,254.74x = 7,875.16 × 2,477.59
  4. Step 4: Simplify right side
    5,254.74x = 19,511,391.78
  5. Step 5: Solve for x
    x = 19,511,391.78/5,254.74
  6. Step 6: Final answer
    x = 3,713.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.